413465 has 8 divisors (see below), whose sum is σ = 534408. Its totient is φ = 305280.

The previous prime is 413461. The next prime is 413477. The reversal of 413465 is 564314.

It is a happy number.

413465 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 413449 = 4^2 + 643^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413465 - 2² = 413461 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413465.

It is not an unprimeable number, because it can be changed into a prime (413461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3116 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (66801).

2⁴¹³⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

413465 is a deficient number, since it is larger than the sum of its proper divisors (120943).

413465 is a wasteful number, since it uses less digits than its factorization.

413465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379.

The product of its digits is 1440, while the sum is 23.

The square root of 413465 is about 643.0124415593. The cubic root of 413465 is about 74.4982808185.

Adding to 413465 its reverse (564314), we get a palindrome (977779).

It can be divided in two parts, 413 and 465, that added together give a palindrome (878).

The spelling of 413465 in words is "four hundred thirteen thousand, four hundred sixty-five".